Liouville-type theorem for one-dimensional porous medium systems with sources
From MaRDI portal
Publication:6198330
DOI10.55730/1300-0098.3459OpenAlexW4387164641MaRDI QIDQ6198330
Publication date: 21 February 2024
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.55730/1300-0098.3459
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Liouville-type theorem for the 3-dimensional parabolic Gross-Pitaevskii and related systems
- Optimal Liouville-type theorems for a parabolic system
- Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- Boundedness of global solutions for a porous medium system with moving localized sources
- An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source
- The proof of the Lane-Emden conjecture in four space dimensions
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- A Liouville-type theorem for cooperative parabolic systems
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
- Non-existence of positive solutions of Lane-Emden systems
- Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources
- Optimal Liouville theorems for superlinear parabolic problems
- A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities
- Liouville-type theorems and universal bounds for nonnegative solutions of the porous medium equation with source
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space
- Boundedness of global solutions for a nonlinear degenerate parabolic (porous medium) system with localized sources
- A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation
- Liouville theorems for scaling invariant superlinear parabolic problems with gradient structure
- Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems
- Global solutions and blow-up problems to a porous medium system with nonlocal sources and nonlocal boundary conditions
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source
- Blow-up for quasilinear heat equations with critical Fujita's exponents
- Optimal Liouville-type theorems for a system of parabolic inequalities
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
This page was built for publication: Liouville-type theorem for one-dimensional porous medium systems with sources
